Pith Number

pith:72CBIZFV

pith:2014:72CBIZFVGLW75Q7AW2U25TK3HC

not attested not anchored not stored refs pending

Reducing differential equations for multiloop master integrals

Roman N. Lee

arxiv:1411.0911 v3 · 2014-11-04 · hep-ph

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72CBIZFVGLW75Q7AW2U25TK3HC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations

The gravitational Compton amplitude at third post-Minkowskian order

Receipt and verification

First computed	2026-05-18T02:04:02.621190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe841464b532edfec3e0b6a9aecd5b38844d99ff64a61f658617e1223823d581

Aliases

arxiv: 1411.0911 · arxiv_version: 1411.0911v3 · doi: 10.48550/arxiv.1411.0911 · pith_short_12: 72CBIZFVGLW7 · pith_short_16: 72CBIZFVGLW75Q7A · pith_short_8: 72CBIZFV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/72CBIZFVGLW75Q7AW2U25TK3HC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fe841464b532edfec3e0b6a9aecd5b38844d99ff64a61f658617e1223823d581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4623f9146566c16e88a54e23b3a7eec12c45412d91b2e861cc9af0d279c8e67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-11-04T13:56:11Z",
    "title_canon_sha256": "c0d807d089acfbb83cb4197ee4b0a7c55432db6ec61eab47311d194d7c93e6ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0911",
    "kind": "arxiv",
    "version": 3
  }
}